Acompression spring made of music wire is used for static loading. wire diameter d = 1.4 mm, coil outside diameter do = 12.1 mm, and there are eight active coils. also, assume that the spring ends are squared and ground. find the following:

a. spring rate and solid length.
b. greatest load that can be applied without causing a permanent set in excess of 2%.
c. spring free length with load determined in part b that causes the spring to be solid.
d. whether buckling is a problem. if it is, recommend what you would change in the redesign.